中文摘要：

目的中心投影变换可实现轮廓类和区域类算法的结合,是一种有效的不变特征提取算法,然而现有文献缺乏对其抗噪性能的深入讨论,仅有一些简单的理论和实验结果,本文主要研究了中心投影变换的抗噪性能。方法利用Radon变换抗噪性分析的思想,讨论了中心投影变换的抗噪性。结果从理论上验证了中心投影变换对高斯白噪声和椒盐噪声有较强的鲁棒性,并且图像的大小、目标区域占图像比例等因素对其抗噪性能都有较大的影响。结论理论分析和实验结果都表明,中心投影变换对高斯白噪声和椒盐噪声有较强的鲁棒性,并且图像的大小、目标区域占图像比例等因素对其抗噪性能都有较大的影响。

英文摘要：

Objective The application of central projection transform combines region-based methods with contour-based methods,and it is an effective invariant feature extraction algorithm. However,current literature lacks of further discussion of robustness to noise,and only a few simple theoretical and experimental results can be found. In this paper,we mainly study the robustness to noise of central projection transformation. Method Using the ideas of analysis for the robustness to noise of Radon transformation,we discuss the robustness to noise of central projection transformation. Result Theoretical results show that central projection transform is very robust to white noise and salt and pepper noise,and its robustness is affected by the size of the input noise image,the percentage of the shape region,and the level of noise. Conclusion Theoretical analytic and experiment results show that central projection transform is very robust to white noise and salt and pepper noise,and its robustness is affected to on the size of the input noise image,the percentage of the shape region,and the level of noise.